tau-recurrent sequences and modular forms

Details tau-recurrent sequences and modular forms tau-recurrent sequences and modular forms

2011-05-29

arxiv.org/abs/1105.5819v3

Mathematics

Number Theory

improved the proof of Theorem 3 (now, it is shorter)

Scientific paper

In this paper we deal with Drinfeld modular forms, defined and taking values in complete fields of positive characteristic. Our aim is to study a sequence of families of Drinfeld modular forms depending on a parameter t that produces, for certain values of t, several kinds of Eisenstein series considered by Gekeler. We obtain formulas involving these functions. To obtain our results, we introduce and discuss tau-linear recurrent sequences and deformations of vectorial modular forms in this setting.

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